# User:Guy vandegrift/Quizbank/Archive1/Calculus Physics I/T3study

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## CalcPhys1T3_Study

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This document contains either a study guide OR pairs of exams taken from the same exam bank
If two exams have the same s-number, then v1 and v2 have the same questions, presented in different (random) order.
Exams with different s-numbers have different questions and may not have the same difficulty.
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At the end of this document
Attribution for the quizzes identifies where the questions were obtained
Study guide links reading materials and/or relevant equations.

### CalcPhys1T3_Study-v1s1

1. If the initial velocity after leaving the spring is 9.80 m/s, how high does it reach before coming to rest?
___ a) 4.44 m
___ b) 4.67 m
___ c) 4.90 m
___ d) 5.15 m
___ e) 5.40 m

2. The mass of the cart is 4.0kg, and the spring constant is 9905N/m. If the initial compression of the spring is 1.00m, how high does it reach before coming to rest?
___ a) 1.26E+02 m
___ b) 1.33E+02 m
___ c) 1.39E+02 m
___ d) 1.46E+02 m
___ e) 1.54E+02 m

3. What is the highest point the cart reaches if the speed was 2.7m/s, when the cart was situated at a height of 3.5m?,
___ a) 2.88 m
___ b) 3.02 m
___ c) 3.17 m
___ d) 3.33 m
___ e) 3.50 m

4. The spring constant is 731N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 2.04m, before coming to rest?
___ a) 1.143 kg
___ b) 1.200 kg
___ c) 1.260 kg
___ d) 1.323 kg
___ e) 1.389 kg

5. The cart has a mass of 47.10kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.75m. If the spring constant was 539N/m, what was the initial compression?
___ a) 2.46 m
___ b) 2.63 m
___ c) 2.81 m
___ d) 3.01 m
___ e) 3.22 m

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

___ a) 1.022 m/s
___ b) 1.084 m/s
___ c) 1.149 m/s
___ d) 1.218 m/s
___ e) 1.291 m/s

7. Integrate the line integral of, ${\displaystyle {\vec {F}}=7.9xy{\hat {x}}+8.1y^{3}{\hat {y}}}$, along the y axis from y = 5 to y = 12

___ a) 3.32E+04
___ b) 3.56E+04
___ c) 3.81E+04
___ d) 4.07E+04
___ e) 4.36E+04

8. Integrate the function, ${\displaystyle {\vec {F}}=r^{3}\theta ^{7}{\hat {r}}+r^{7}\theta ^{4}{\hat {\theta }}}$ , along the first quadrant of a circle of radius 4

___ a) 1.02E+05
___ b) 1.09E+05
___ c) 1.17E+05
___ d) 1.25E+05
___ e) 1.34E+05

9. Integrate the line integral of ${\displaystyle {\vec {F}}=3.3xy{\hat {x}}+8.7x{\hat {y}}}$ from the origin to the point at x = 2.1 and y = 3.2

___ a) 4.18E+01
___ b) 4.48E+01
___ c) 4.79E+01
___ d) 5.12E+01
___ e) 5.48E+01

10. Integrate the function, ${\displaystyle {\vec {F}}=-x^{3}y^{5}{\hat {x}}+x^{5}y^{2}{\hat {y}}}$, as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1). Orient the path so its direction is out of the paper by the right hand rule

___ a) 4.76E-01
___ b) 5.10E-01
___ c) 5.45E-01
___ d) 5.83E-01
___ e) 6.24E-01

11. On object of mass 2.5 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 17.94 kg. What is the final velocity if they stick? (Assume no external friction.)

___a) 1.95m/s.
___b) 2.34m/s.
___c) 2.81m/s.
___d) 3.38m/s.
___e) 4.05m/s.

12. A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

___a) 3326 kg
___b) 3991 kg
___c) 4789 kg
___d) 5747 kg
___e) 6896 kg

13.
A 161 gm bullet strikes a ballistic pendulum of mass 2.1 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?
___a) 44 m/s.
___b) 47 m/s.
___c) 50 m/s.
___d) 54 m/s.
___e) 57 m/s.

14.
A massless bar of length, S = 8.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26.5 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 4.7m from the wall. What is the tension, T, in the string?
___a) 3.59E+01 N
___b) 4.52E+01 N
___c) 5.69E+01 N
___d) 7.16E+01 N
___e) 9.02E+01 N

15.
In the figure shown, L1 = 5.9m, L2 = 3.1m and L3 = 7.4m. What is F1 if F2 =9.1N and F3 =5.9N?
___a) 8.30E+00 N
___b) 1.01E+01 N
___c) 1.22E+01 N
___d) 1.48E+01 N
___e) 1.79E+01 N

16.
A massless bar of length, S = 7.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 24.8 degrees above the horizontal. An object of mass, M = 8.9kg is suspended at a length, L = 5.5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?
___a) 9.31E+01 N
___b) 1.13E+02 N
___c) 1.37E+02 N
___d) 1.65E+02 N
___e) 2.01E+02 N

17.
In the figure shown, L1 = 6.1m, L2 = 4m and L3 = 7.5m. What is F2 if F1 =0.74N and F3 =0N?
___a) 6.35E-01 N
___b) 7.69E-01 N
___c) 9.31E-01 N
___d) 1.13E+00 N
___e) 1.37E+00 N

18.
A massless bar of length, S = 9.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35 degrees above the horizontal. An object of mass, M = 5.1kg is suspended at a length, L =5.5m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?
___a) 2.13E+01 N
___b) 2.59E+01 N
___c) 3.13E+01 N
___d) 3.80E+01 N
___e) 4.60E+01 N

19. A car with a tire radius of 0.28 m accelerates from 0 to 22 m/s in 10 seconds. What is the angular acceleration of the wheel?

___a) 5.35 x 100 m
___b) 6.49 x 100 m
___c) 7.86 x 100 m
___d) 9.52 x 100 m
___e) 1.15 x 101 m

20. A lead filled bicycle wheel of radius 0.37 m and mass 2.3 kg is rotating at a frequency of 1.6 revolutions per second. What is the moment of inertia?

___a) 3.15 x 10-1 kg m2/s2
___b) 3.81 x 10-1 kg m2/s2
___c) 4.62 x 10-1 kg m2/s2
___d) 5.6 x 10-1 kg m2/s2
___e) 6.78 x 10-1 kg m2/s2

21. A lead filled bicycle wheel of radius 0.35 m and mass 2.3 kg is rotating at a frequency of 1.1 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

___a) 3.78 x 100 J
___b) 4.58 x 100 J
___c) 5.55 x 100 J
___d) 6.73 x 100 J
___e) 8.15 x 100 J

22.
The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR2. Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.85 m, and the smaller disk has a diameter of 0.44 m. If a force of 14 N is applied at the rim of the smaller disk, what is the angular acceleration?
___a) 8.4 x 100 s-2
___b) 1.02 x 101 s-2
___c) 1.23 x 101 s-2
___d) 1.49 x 101 s-2
___e) 1.81 x 101 s-2

23. A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

___ 2.83E4 Pa
___ 3.43E4 Pa
___ 4.16E4 Pa
___ 5.03E4 Pa
___ 6.10E4 Pa

24. A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

___ 6.97E3 N
___ 8.44E3 N
___ 1.02E4 N
___ 1.24E4 N
___ 1.50E4 N

25. A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

___ 4.01E3 N
___ 5.04E3 N
___ 6.35E3 N
___ 7.99E3 N
___ 1.01E4 N

26. A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

___ 3.02E4 Pa
___ 3.81E4 Pa
___ 4.79E4 Pa
___ 6.03E4 Pa
___ 7.59E4 Pa

#### Key to CalcPhys1T3_Study-v1s1

1. If the initial velocity after leaving the spring is 9.80 m/s, how high does it reach before coming to rest?
- a) 4.44 m
- b) 4.67 m
+ c) 4.90 m
- d) 5.15 m
- e) 5.40 m

2. The mass of the cart is 4.0kg, and the spring constant is 9905N/m. If the initial compression of the spring is 1.00m, how high does it reach before coming to rest?
+ a) 1.26E+02 m
- b) 1.33E+02 m
- c) 1.39E+02 m
- d) 1.46E+02 m
- e) 1.54E+02 m

3. What is the highest point the cart reaches if the speed was 2.7m/s, when the cart was situated at a height of 3.5m?,
- a) 2.88 m
- b) 3.02 m
- c) 3.17 m
- d) 3.33 m
+ e) 3.50 m

4. The spring constant is 731N/m, and the initial compression is 0.25m. What is the mass if the cart reaches a height of 2.04m, before coming to rest?
+ a) 1.143 kg
- b) 1.200 kg
- c) 1.260 kg
- d) 1.323 kg
- e) 1.389 kg

5. The cart has a mass of 47.10kg. It is moving at a speed of 3.90m/s, when it is at a height of 2.75m. If the spring constant was 539N/m, what was the initial compression?
+ a) 2.46 m
- b) 2.63 m
- c) 2.81 m
- d) 3.01 m
- e) 3.22 m

6. You are riding a bicycle on a flat road. Assume no friction or air drag, and that you are coasting. Your speed is 4.9m/s, when you encounter a hill of height 1.14m. What is your speed at the top of the hill?

- a) 1.022 m/s
- b) 1.084 m/s
- c) 1.149 m/s
- d) 1.218 m/s
+ e) 1.291 m/s

7. Integrate the line integral of, ${\displaystyle {\vec {F}}=7.9xy{\hat {x}}+8.1y^{3}{\hat {y}}}$, along the y axis from y = 5 to y = 12

- a) 3.32E+04
- b) 3.56E+04
- c) 3.81E+04
+ d) 4.07E+04
- e) 4.36E+04

8. Integrate the function, ${\displaystyle {\vec {F}}=r^{3}\theta ^{7}{\hat {r}}+r^{7}\theta ^{4}{\hat {\theta }}}$ , along the first quadrant of a circle of radius 4

- a) 1.02E+05
- b) 1.09E+05
- c) 1.17E+05
+ d) 1.25E+05
- e) 1.34E+05

9. Integrate the line integral of ${\displaystyle {\vec {F}}=3.3xy{\hat {x}}+8.7x{\hat {y}}}$ from the origin to the point at x = 2.1 and y = 3.2

- a) 4.18E+01
+ b) 4.48E+01
- c) 4.79E+01
- d) 5.12E+01
- e) 5.48E+01

10. Integrate the function, ${\displaystyle {\vec {F}}=-x^{3}y^{5}{\hat {x}}+x^{5}y^{2}{\hat {y}}}$, as a line integral around a unit square with corners at (0,0),(1,0),(1,1),(0,1). Orient the path so its direction is out of the paper by the right hand rule

- a) 4.76E-01
- b) 5.10E-01
- c) 5.45E-01
+ d) 5.83E-01
- e) 6.24E-01

11. On object of mass 2.5 kg that is moving at a velocity of 23m/s collides with a stationary object of mass 17.94 kg. What is the final velocity if they stick? (Assume no external friction.)

-a) 1.95m/s.
-b) 2.34m/s.
+c) 2.81m/s.
-d) 3.38m/s.
-e) 4.05m/s.

12. A car of mass 884 kg is driving on an icy road at a speed of 20 m/s, when it collides with a stationary truck. After the collision they stick and move at a speed of 4.2 m/s. What was the mass of the truck?

+a) 3326 kg
-b) 3991 kg
-c) 4789 kg
-d) 5747 kg
-e) 6896 kg

13.
A 161 gm bullet strikes a ballistic pendulum of mass 2.1 kg (before the bullet struck). After impact, the pendulum rises by 65 cm. What was the speed of the bullet?
-a) 44 m/s.
-b) 47 m/s.
+c) 50 m/s.
-d) 54 m/s.
-e) 57 m/s.

14.
A massless bar of length, S = 8.7m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 26.5 degrees above the horizontal. An object of mass, M = 7.6kg is suspended at a length, L = 4.7m from the wall. What is the tension, T, in the string?
-a) 3.59E+01 N
-b) 4.52E+01 N
-c) 5.69E+01 N
-d) 7.16E+01 N
+e) 9.02E+01 N

15.
In the figure shown, L1 = 5.9m, L2 = 3.1m and L3 = 7.4m. What is F1 if F2 =9.1N and F3 =5.9N?
-a) 8.30E+00 N
-b) 1.01E+01 N
+c) 1.22E+01 N
-d) 1.48E+01 N
-e) 1.79E+01 N

16.
A massless bar of length, S = 7.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 24.8 degrees above the horizontal. An object of mass, M = 8.9kg is suspended at a length, L = 5.5m from the wall. What is the x (horizontal) component of the force exerted by the wall on the horizontal bar?
-a) 9.31E+01 N
-b) 1.13E+02 N
+c) 1.37E+02 N
-d) 1.65E+02 N
-e) 2.01E+02 N

17.
In the figure shown, L1 = 6.1m, L2 = 4m and L3 = 7.5m. What is F2 if F1 =0.74N and F3 =0N?
-a) 6.35E-01 N
-b) 7.69E-01 N
-c) 9.31E-01 N
+d) 1.13E+00 N
-e) 1.37E+00 N

18.
A massless bar of length, S = 9.6m is attached to a wall by a frictionless hinge (shown as a circle). The bar his held horizontal by a string that makes and angle θ = 35 degrees above the horizontal. An object of mass, M = 5.1kg is suspended at a length, L =5.5m from the wall. What is the y (vertical) component of the force exerted by the wall on the horizontal bar?
+a) 2.13E+01 N
-b) 2.59E+01 N
-c) 3.13E+01 N
-d) 3.80E+01 N
-e) 4.60E+01 N

19. A car with a tire radius of 0.28 m accelerates from 0 to 22 m/s in 10 seconds. What is the angular acceleration of the wheel?

-a) 5.35 x 100 m
-b) 6.49 x 100 m
+c) 7.86 x 100 m
-d) 9.52 x 100 m
-e) 1.15 x 101 m

20. A lead filled bicycle wheel of radius 0.37 m and mass 2.3 kg is rotating at a frequency of 1.6 revolutions per second. What is the moment of inertia?

+a) 3.15 x 10-1 kg m2/s2
-b) 3.81 x 10-1 kg m2/s2
-c) 4.62 x 10-1 kg m2/s2
-d) 5.6 x 10-1 kg m2/s2
-e) 6.78 x 10-1 kg m2/s2

21. A lead filled bicycle wheel of radius 0.35 m and mass 2.3 kg is rotating at a frequency of 1.1 revolutions per second. What is the total kinetic energy if the wheel is rotating about a stationary axis?

-a) 3.78 x 100 J
-b) 4.58 x 100 J
-c) 5.55 x 100 J
+d) 6.73 x 100 J
-e) 8.15 x 100 J

22.
The moment of inertia of a solid disk of mass, M, and radius, R, is ½ MR2. Two identical disks, each with mass 1.8 kg are attached. The larger disk has a diameter of 0.85 m, and the smaller disk has a diameter of 0.44 m. If a force of 14 N is applied at the rim of the smaller disk, what is the angular acceleration?
-a) 8.4 x 100 s-2
-b) 1.02 x 101 s-2
-c) 1.23 x 101 s-2
+d) 1.49 x 101 s-2
-e) 1.81 x 101 s-2

23. A cylinder with a radius of 0.24 m and a length of 3.8 m is held so that the top circular face is 3.5 m below the water. The mass of the block is 853.0 kg. The mass density of water is 1000kg/m^3. What is the pressure at the top face of the cylinder?

- 2.83E4 Pa
+ 3.43E4 Pa
- 4.16E4 Pa
- 5.03E4 Pa
- 6.10E4 Pa

24. A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the buoyant force?

- 6.97E3 N
- 8.44E3 N
+ 1.02E4 N
- 1.24E4 N
- 1.50E4 N

25. A cylinder with a radius of 0.25 m and a length of 3.5 m is held so that the top circular face is 3.3 m below the water. The mass of the block is 922.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the water at the top surface?

- 4.01E3 N
- 5.04E3 N
+ 6.35E3 N
- 7.99E3 N
- 1.01E4 N

26. A cylinder with a radius of 0.38 m and a length of 2.3 m is held so that the top circular face is 4.5 m below the water. The mass of the block is 909.0 kg. The mass density of water is 1000kg/m^3. What is the force exerted by the fluid on the bottom of the cylinder?

+ 3.02E4 Pa
- 3.81E4 Pa
- 4.79E4 Pa
- 6.03E4 Pa
- 7.59E4 Pa

Attribution (for quiz questions) under CC-by-SA license
https://en.wikiversity.org/w/index.php?title=Physics_equations/07-Work_and_Energy/Q:cart1&oldid=1380215
https://en.wikiversity.org/w/index.php?title=Physics_equations/07-Work_and_Energy/Q:cart2&oldid=1380821
http://en.wikiversity.org/w/index.php?title=Quizbank/College_Physics/a07energy_lineIntegral&oldid=1381800
http://en.wikiversity.org/w/index.php?title=Physics_equations/18-Electric_charge_and_field/Q:findE&oldid=1378605
Study guide
http://en.wikiversity.org/wiki/Physics_equations/Sheet/All_chapters
https://en.wikiversity.org/wiki/Physics_equations/Sheet/All_chapters